Topological Lifshitz Phase Transition in Effective Model of QCD with Chiral Symmetry Non-restoration

Tran Huu Phat; Phung Thi Thu Ha; Nguyen Tuan Anh

doi:10.15625/0868-3166/23/4/3411

Author affiliations

Authors

Tran Huu Phat Vietnam Atomic Energy Institute, 59 Ly Thuong Kiet, Hanoi, Vietnam. Center for Advance Study, Dong Do University, 170 Pham Van Dong, Hanoi, Vietnam.
Phung Thi Thu Ha Institute of Physics, 10 Dao Tan, Hanoi, Vietnam Vietnam Atomic Energy Institute, 59 Ly Thuong Kiet, Hanoi, Vietnam
Nguyen Tuan Anh Electric Power University, 235 Hoang Quoc Viet, Hanoi, Vietnam.

DOI:

https://doi.org/10.15625/0868-3166/23/4/3411

Keywords:

21.10.Dr

Abstract

The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential.

It is found that during phase transition the quark system undergoes a first-order transition from low density fully-gapped state to high density state with Fermi sphere which is protected by momentum-space topology. The Lifshitz phase diagram in the plane of temperature and baryon chemical potential is established.

The critical behaviors of various equations of state are determined.

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References

T. Hatsuda and K. Maeda, Quantum phase transition in densed QCD, Chapter 25 of Developments in Quantum Phase Transitions, ed. by L.D.Carr (Taylor and Francis, 2010).

S. Weinberg, Phys. Rev. {bf D 9}, 3357 (1974). DOI: https://doi.org/10.1103/PhysRevD.9.3357

L. Dolan and R. Jackiw, Phys. Rev. {bf D 9}, 3357 (1974). DOI: https://doi.org/10.1103/PhysRevB.9.3357

N. Schupper and N. M. Shnerb, Phys. Rev. {bf E 72}, 046107 (2005). DOI: https://doi.org/10.1103/PhysRevE.72.046107

G. Bimonte and G. Lozano, Phys. Lett. {bf B 366}, 248 (1996). DOI: https://doi.org/10.1016/0370-2693(95)01395-4

G. Dvali, A. Melfo and G. Senjanovic, Phys. Rev. Lett. {bf 75}, 4559 (1995). DOI: https://doi.org/10.1103/PhysRevLett.75.4559

G. Dvali and G. Senjanovic, Phys. Rev. Lett. {bf 74}, 5178 (1995). DOI: https://doi.org/10.1103/PhysRevLett.74.5178

P. N. Meisinger and M. C. Ogilvie, Phys. Lett. {bf B 379}, 163 (1996). DOI: https://doi.org/10.1016/0370-2693(96)00447-9

S. Chandrasekharan and N. Christ, Nucl. Phys. {bf B47}, Proc. Suppl., 527 (1996). DOI: https://doi.org/10.1016/0920-5632(96)00115-6

J. B. Kogut and D. K. Sinclair, Phys. Rev. {bf D 66}, 034505 (2002). DOI: https://doi.org/10.1103/PhysRevD.66.014508

G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003).

G. E. Volovik, Quantum phase transition from topology in momentum space, Lecture Notes in Physics, Vol. 718 (Springer, Berlin, 200 ), p. 3.

I. M. Lifshitz, Sov. Phys. {bf JETP 11}, 1130 (1960).

E. M. Lifshitz, Zh. Eksp. Theor. Fiz. {bf 11}, 255 (1941).

N. Doiron-Leyrand et al., Nature 565 (2007). DOI: https://doi.org/10.1038/nature05872

D. Leboeuf et al., Nature 450, 533 (2007). DOI: https://doi.org/10.1038/nature06332

Y. Yamaji, T. A. Misawa and M. Imada, Proc. Phys. Soc. Jpn {bf 75}, 094719 (2005). DOI: https://doi.org/10.1143/JPSJ.75.094719

V. A. Khodel, J. W. Clark and M. V. Zverev, Phys. Rev. {bf B 78}, 075120 (2008) . DOI: https://doi.org/10.1103/PhysRevB.78.075120

Tran Huu Phat and Nguyen Van Thu, Phys. Rev. {bf C 87}, 024321 (2013). DOI: https://doi.org/10.1103/PhysRevC.87.024321

Tran Huu Phat, Nguyen Tuan Anh and Phung Thi Thu Ha, Phase transition patterns of nuclear matter based on extended linear sigma model, to be published in Int. J. Mod. Phys. E. (2013). DOI: https://doi.org/10.1142/S0218301313500778